A study reported that 46% of men age 62 to 64 were still working, 44% of women age 62 to 64 were still working, 35% men age 65 to 69 were still working, and 26% of women age 65 to 69 were still working. Suppose that the study was based on a sample size of 100 in each group. Complete parts (a) through (c). State the null and alternative hypotheses. O A. Ho: 1 =R2 = n3 = R4 = 0 H,: At least one of the n, is not equal to zero (where j= 1, 2, 3, 4) O B. Ho: 11 = R2 = 73 = 14 = 0 H1: q #12 #nz # 74 #0 C. Họ: 1 =n2 = T3 = R4 H,: Not all are equal (wherej= 1, 2, 3, 4) D. Ho: 1 =R2 = R3 = R4 H1: a, #12 # n3 # 74 XSTAT = 10.756. The test statistic is (Round to three decimal eeded.) The critical value for a = 0.10 is 6.251. (Round to three decimal places as needed.) Reject Ho. There is sufficient evidence of a difference among the groups with respect to the proportion who are still working. The p-value is 0.013. (Round to three decimal places as needed.) What does the p-value mean? O A. The p-value is the probability of rejecting the null hypothesis if the test were repeated for different samples. B. The p-value is the probability of obtaining a result at least as extreme as the one obtained with this sample given that the null hypothesis is true. O c. The p-value is the probability of falsely rejecting the null hypothesis. O D. The p-value is the probability that the null hypothesis is true. c. If appropriate, use the Marascuilo procedure and a = 0.10 to determine which age groups are different. Select all that apply. O A. women 62-64 and men 65-69 O B. women 62-64 and women 65-69 O c. men 62-64 and women 62-64 O D. men 62-64 and women 65-69 O E. men 62-64 and men 65-69 O F. men 65-69 and women 65-69 O G. The procedure is not appropriate, so no two groups are different.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
